You arc to design a lowpass HR digital filter using the impu

You arc to design a lowpass HR digital filter using the impulse invariance transformation. During the design of the Butterworth analogue filter prototype you solve a system of two equations determined by the desired frequency response for the pass-band comer frequency and the stop-band corner frequency. The values resulting for the Butterworth analogue filter parameters are: What should your next step be? If you were to exactly meet the desired frequency response specifications for the passband comer frequency or the stopband corner frequency, which one of the two would you choose to meet? Explain why In classes we studied four types of linear-phase FIR digital filters. Not all of them are able to accommodate all types of frequency selective filters: lowpass. highpass, bandpass and bandstop. In the table below mark with an X those implementations that are not possible to occur and justify why not based on the z-plane zero locations of H(z) for those filter types.

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